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Simplifying 0 = 9n2 + 55n Reorder the terms: 0 = 55n + 9n2 Solving 0 = 55n + 9n2 Solving for variable 'n'. Remove the zero: -55n + -9n2 = 55n + 9n2 + -55n + -9n2 Reorder the terms: -55n + -9n2 = 55n + -55n + 9n2 + -9n2 Combine like terms: 55n + -55n = 0 -55n + -9n2 = 0 + 9n2 + -9n2 -55n + -9n2 = 9n2 + -9n2 Combine like terms: 9n2 + -9n2 = 0 -55n + -9n2 = 0 Factor out the Greatest Common Factor (GCF), '-1n'. -1n(55 + 9n) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(55 + 9n)' equal to zero and attempt to solve: Simplifying 55 + 9n = 0 Solving 55 + 9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 9n = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 9n = 0 + -55 9n = 0 + -55 Combine like terms: 0 + -55 = -55 9n = -55 Divide each side by '9'. n = -6.111111111 Simplifying n = -6.111111111Solution
n = {0, -6.111111111}
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